ARC-AGI-2 problem / Path by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Rectangle by Ciro Santilli 37 Updated +Created
Rectangle is like a box but always fully filled.
ARC-AGI-2 problem / Primitive relation by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Monocolor object by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Container by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Draw line by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Optimize by Ciro Santilli 37 Updated +Created
There is no unique solution, we just have to optimize something, often the least changed colors.
ARC-AGI-2 problem / Repeat by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Object by Ciro Santilli 37 Updated +Created
An "object" is a set of points that is understood to be one singular entity.
Contiguity and having the same color are strong indicators that something should be understood as an object.
ARC-AGI-2 problem / Background color by Ciro Santilli 37 Updated +Created
If a color is inferred to be a background color, it contains no information and should be ignored.
Most problems tend to use black as a background color, but not all of them.
ARC-AGI-2 problem / Output primitive by Ciro Santilli 37 Updated +Created
ARC-AGI-2 problem / Input primitive by Ciro Santilli 37 Updated +Created
Bitcoin 2011 vanity address pool by Ciro Santilli 37 Updated +Created
This section lists transactions from 2011 that appear to contain pools of vanity addresses. There were first discovered while researching Base58 messages, but since they just contain bulk commercial stuff with little artistic value we've decided to keep them here instead of in the museum:
ARC-AGI-2 problem / List / 195c6913 by Ciro Santilli 37 Updated +Created
Input: three or more containers:
Output:
ARC-AGI-2 problem / List / 142ca369 by Ciro Santilli 37 Updated +Created
Solution: vs are guns that shoot diagonal line of their color, when line touches another object, change line color to match that of the object, then bounce on the object and continue going with the new color
Input primitives:
Assumptions:
  • line don't cross each other, it is unclear how to resolve that case
Transformation primitives:
  • draw line
    • draw line and bounce
ARC-AGI-2 problem / List / 16b78196 by Ciro Santilli 37 Updated +Created
Solution: move pieces to fill the gap on the fat object that crosses the screen. Place objects either on fat object or on other objects placed on the fat object. Anything you add must end in a rectangle.
The rules for this one are not entirely clear with the number of examples.
Also clearly if the goal is to make rectangular towers, then this is an NP-hard optimization problem in general.
Input primitives:
  • same color chunk. Properties: crosses screen.
Transformation primitives:
  • move solid around
  • fills the gap

Pinned article: ourbigbook/introduction-to-the-ourbigbook-project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact